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What Territory Did Charlemagne Use as a Base South of the Pyrenees

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What territory did Charlemagne use as a base south of the Pyrenees to launch crusades to reconquer Spain?


Definitions:

Binomial Formula

A mathematical formula used to calculate the probability of obtaining a given number of successes in a binomial experiment.

Random Sample

A subset of individuals chosen from a larger set (population) where each individual has an equal probability of being selected, ensuring the sample’s representativeness of the population.

Binomial Random Variable

A random variable that follows a binomial distribution, representing the number of successes in a fixed number of independent Bernoulli trials with the same probability of success.

Variance

Variance is a statistical measure that represents the degree of spread in a data set. It is calculated as the average of the squared differences from the Mean.

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